Climate change is increasing the frequency or severity of many extreme events, especially heatwaves and heavy rainfall, but the evidence does not support a blanket claim that all weather events will become more frequent and extreme.
Climate change will cause weather events to become more frequent and extreme.

Climate change causes more severe weather, report finds : NPR
Source: npr.org
Key Evidence
The IPCC finds that heatwaves and concurrent heatwave-drought events have become more frequent, with further increases expected as global warming rises.
The Royal Society and World Meteorological Organization report that heavy precipitation and hot extremes have generally become more frequent or intense, while changes vary by event type and region.
The evidence does not establish that every category of weather event, including hurricanes and tornadoes, will become both more frequent and more extreme.
What the Evidence Shows
The strongest evidence supports a narrower conclusion than the statement suggests. The IPCC reports that heatwaves and other hot extremes have become more frequent and intense across most land regions, while concurrent heatwaves and droughts have also become more common. It projects that these trends will continue as warming increases.ipcc.chipcc.chChapter 11: Weather and Climate Extreme Events in a Changing Climate